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On the length of finite simple groups having chain difference one

โœ Scribed by Joseph Petrillo


Publisher
Springer
Year
2006
Tongue
English
Weight
109 KB
Volume
88
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


Finite Groups Having Chain Difference On
โœ B. Brewster; M.B. Ward; I. Zimmermann ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 609 KB
Finite Groups of Chain Difference One
โœ Margaret A. Hartenstein; Ronald M. Solomon ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

A finite group G is said to have chain difference one if the lengths of any two unrefinable subgroup chains of G differ by at most one. Finite simple groups of ลฝ chain difference one were classified by B. Brewster et al. 1993, J. Algebra 160, . 179แސ191 using the classification of finite simple group

Finite Simple Groups of Bounded Subgroup
โœ K. Alladi; R. Solomon; A. Turull ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

Given a finite group G, we denote by l G the length of the longest chain of subgroups of G. We study whether certain sets of non-isomorphic finite simple groups S with bounded l S are finite or infinite. We prove, in particular, that there exists an infinite number of non-isomorphic non-abelian fini

On the Spread of Finite Simple Groups
โœ RobertM. Guralnick; Aner Shalev ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 211 KB